Search a number
-
+
1402463400 = 2335213213831
BaseRepresentation
bin101001110010111…
…1110010010101000
310121201222112002220
41103211332102220
510333012312100
6351055354040
746516512402
oct12345762250
93551875086
101402463400
1165a721568
12331822920
13194731b00
14d4393b72
15831ceaa0
hex5397e4a8

1402463400 has 144 divisors (see below), whose sum is σ = 4708136160. Its totient is φ = 345196800.

The previous prime is 1402463393. The next prime is 1402463401. The reversal of 1402463400 is 43642041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1402463401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94485 + ... + 108315.

It is an arithmetic number, because the mean of its divisors is an integer number (32695390).

Almost surely, 21402463400 is an apocalyptic number.

1402463400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354068080).

1402463400 is an abundant number, since it is smaller than the sum of its proper divisors (3305672760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1402463400 is a wasteful number, since it uses less digits than its factorization.

1402463400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13876 (or 13854 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1402463400 is about 37449.4779669891. The cubic root of 1402463400 is about 1119.3446953168.

The spelling of 1402463400 in words is "one billion, four hundred two million, four hundred sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 169 195 200 260 300 312 325 338 390 507 520 600 650 676 780 845 975 1014 1300 1352 1560 1690 1950 2028 2535 2600 3380 3900 4056 4225 5070 6760 7800 8450 10140 12675 13831 16900 20280 25350 27662 33800 41493 50700 55324 69155 82986 101400 110648 138310 165972 179803 207465 276620 331944 345775 359606 414930 539409 553240 691550 719212 829860 899015 1037325 1078818 1383100 1438424 1659720 1798030 2074650 2157636 2337439 2697045 2766200 3596060 4149300 4315272 4495075 4674878 5394090 7012317 7192120 8298600 8990150 9349756 10788180 11687195 13485225 14024634 17980300 18699512 21576360 23374390 26970450 28049268 35061585 35960600 46748780 53940900 56098536 58435975 70123170 93497560 107881800 116871950 140246340 175307925 233743900 280492680 350615850 467487800 701231700 1402463400